Finding the Third Proportional to 9,525 and 10,524

Step by Step Solution

1. Step 1: Write the proportion equation
   9,525 : 10,524 = 10,524 : x
2. Step 2: Convert to fraction form
   9,525/10,524 = 10,524/x
3. Step 3: Cross multiply
   9,525x = 10,524 × 10,524
4. Step 4: Simplify right side
   9,525x = 110,754,576
5. Step 5: Solve for x
   x = 110,754,576/9,525
6. Step 6: Final answer
   x = 11,627.78